1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.OC2021
On local minimizers of generalized trust-region subproblem
Jiulin Wang, Mengmeng Song, Yong Xia
Generalized trust-region subproblem (GT) is a nonconvex quadratic optimization with a single quadratic constraint. It reduces to the classical trust-region subproblem (T) if the co…
math.OC2021
Polyak's convexity theorem, Yuan's lemma and S-lemma: extensions and applications
Mengmeng Song, Yong Xia
We extend Polyak's theorem on the convexity of joint numerical range from three to any number of quadratic forms on condition that they can be generated by three quadratic forms wi…
math.OC2021★ 1 cited
Trust-region and -regularized subproblems: local nonglobal minimum is the second smallest objective function value among all first-order stationary points
Jiulin Wang, Mengmeng Song, Yong Xia
The local nonglobal minimizer of trust-region subproblem, if it exists, is shown to have the second smallest objective function value among all KKT points. This new property is ext…